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Finding the Third Proportional to 6,184.69 and 12,059.72

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Solution

The third proportional to 6,184.69 and 12,059.72 is: 23,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.69 : 12,059.72 = 12,059.72 : x
  2. Step 2: Convert to fraction form
    6,184.69/12,059.72 = 12,059.72/x
  3. Step 3: Cross multiply
    6,184.69x = 12,059.72 × 12,059.72
  4. Step 4: Simplify right side
    6,184.69x = 145,436,816.33
  5. Step 5: Solve for x
    x = 145,436,816.33/6,184.69
  6. Step 6: Final answer
    x = 23,515.63

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.